Let R be the relation on N defined by R = { ( x , y ) : x + 2 y = 8 } . Then, the domain of R is:

Question

Let $R$ be the relation on $N$ defined by $R = {(x, y) : x + 2 y = 8} .$ Then, the domain of $R$ is:

Smart Achievers · Accepted Answer

(3)

Ans. {2, 4, 6}

Explanation:

Since $R$ is defined as $x + 2 y = 8 .$

Now, $x$ and $y$ are natural numbers.

$R$ $x = 2,$ $y = 3$

Because if we put $x = 3$ , then $y$ will not be a natural number.

$x = 4,$ $y = 2$

$x = 6,$ $y = 1$

$∴$ Domain of the given relation is {2, 4, 6}

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